Question
The picture below shows four parallelograms that have been divided into triangles. For which parallelogram can the triangles be proven congruent using AAS?
(1 point)
Responses a b c or d which one
QRSP
QRSP
ABCD
ABCD
JKLM
JKLM
WZYX
WZYX
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(1 point)
Responses a b c or d which one
QRSP
QRSP
ABCD
ABCD
JKLM
JKLM
WZYX
WZYX
Skip to navigation
Answers
GPT-4o mini
To determine which parallelogram's triangles can be proven congruent using the Angle-Angle-Side (AAS) theorem, we need to evaluate the arrangement of angles and the included side in each parallelogram.
The AAS theorem states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.
Without the visual representation or specific angles/sides, I can't definitively identify which parallelogram meets the AAS requirement. However, you can follow these steps to identify it:
1. **Identify pairs of triangles in each parallelogram.**
2. **Check for two angles in each triangle that are congruent.**
3. **Verify the non-included side between these angles is also congruent.**
Look for a parallelogram where these conditions hold, and that will be your answer. If you provide more specific information about the angles and sides in each parallelogram, I can assist further!
The AAS theorem states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.
Without the visual representation or specific angles/sides, I can't definitively identify which parallelogram meets the AAS requirement. However, you can follow these steps to identify it:
1. **Identify pairs of triangles in each parallelogram.**
2. **Check for two angles in each triangle that are congruent.**
3. **Verify the non-included side between these angles is also congruent.**
Look for a parallelogram where these conditions hold, and that will be your answer. If you provide more specific information about the angles and sides in each parallelogram, I can assist further!
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